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Organizing lessons and topics for this grade.Grade 5 learning path
Decimal operations, volume, the coordinate plane, and rich fraction work.
0 of 67 Grade 5 lessons completed
67 lessons in Grade 5
Check readiness and refresh Grade 4 foundations.
Refresh Grade 4 foundations and check readiness for the finalized Grade 5 path.
Prerequisite and Diagnostic
Diagnose readiness across place value, operations, fractions, measurement, geometry, and data before Grade 5 instruction begins.
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Review tenths, hundredths, place-value relationships, and decimal comparison needed for thousandths.
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Review multiplication, division, estimation, and place-value strategies required for Grade 5 algorithms.
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I can use visual models to rename fractions as equivalent forms that support same-whole operations and common-denominator reasoning.
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Select and explain appropriate manipulatives, diagrams, tables, graphs, equations, and estimation strategies.
View subscription options →Build decimal, fraction, whole-number, expression, and pattern reasoning.
Develop decimal, whole-number, fraction, and rational-number reasoning.
Place Value and Decimal Operations
Students represent decimals through the thousandths in standard form, expanded form, and word form, identify the value of each digit, and compose or decompose decimals using place-value relationships.
Start lesson →Place Value and Decimal Operations
Students compare and order decimals through thousandths by aligning place values, checking digits from greatest place to least, and representing comparisons with >, <, or =.
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Locate decimals through thousandths on scaled number lines and reason about relative magnitude.
View subscription options →Place Value and Decimal Operations
Students round decimals to tenths or hundredths by identifying the target place, checking the digit to the right, and deciding which nearby benchmark decimal is closer.
View subscription options →Place Value and Decimal Operations
Students estimate solutions to mathematical and real-world problems by using rounding, compatible numbers, and benchmark reasoning.
View subscription options →Place Value and Decimal Operations
Add and subtract decimals accurately and efficiently by aligning place values and checking reasonableness.
View subscription options →Place Value and Decimal Operations
Students represent decimal multiplication with objects and pictorial models, including area models, and explain the product to the hundredths using place-value units and magnitude reasoning.
View subscription options →Place Value and Decimal Operations
Students solve decimal multiplication problems to the hundredths by using place-value understanding, properties of operations, and whole-number multiplication connections, then check whether the product is reasonable.
View subscription options →Place Value and Decimal Operations
Students represent decimal division to the hundredths with objects and pictorial models, regroup place-value units as needed, and explain the quotient with equal-group or measurement reasoning.
View subscription options →Place Value and Decimal Operations
Students solve decimal quotients to the hundredths by dividing by whole numbers with strategies and algorithms, including the standard algorithm, then check whether the quotient is reasonable.
View subscription options →Whole-Number Multiplication and Division
Connect area models and partial products to multiplying a three-digit number by a two-digit number.
View subscription options →Whole-Number Multiplication and Division
Students multiply a three-digit number by a two-digit number using strategies based on place value and the properties of operations.
View subscription options →Whole-Number Multiplication and Division
Use place-value and area models to represent division with up to four-digit dividends and two-digit divisors.
View subscription options →Whole-Number Multiplication and Division
Students divide up to four-digit dividends by two-digit divisors using strategies based on place value, the properties of operations, and the relationship between multiplication and division.
View subscription options →Whole-Number Multiplication and Division
Use estimation and inverse operations to assess whether products and quotients are reasonable.
View subscription options →Whole-Number Multiplication and Division
Choose operations, represent multi-step situations, solve, and justify whole-number multiplication and division solutions.
View subscription options →Fractions and Rational Numbers
Generate equivalent fractions and use common denominators to prepare for addition and subtraction.
Start lesson →Fractions and Rational Numbers
Represent addition of fractions with unlike denominators using same-whole area models, strips, and number lines.
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Represent subtraction of fractions with unlike denominators using same-whole visual models.
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Students add and subtract fractions with unlike denominators that refer to the same whole by building equivalent fractions, using visual models, and explaining why only equal-size parts can be combined.
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Model and solve real-world fraction addition and subtraction problems and explain reasonableness.
View subscription options →Fractions and Rational Numbers
Students represent and solve multiplication of a whole number and a fraction that refers to the same whole using objects, area models, and repeated-addition reasoning.
View subscription options →Fractions and Rational Numbers
Solve measurement, scaling, and equal-group problems involving a whole number multiplied by a fraction.
View subscription options →Fractions and Rational Numbers
Students represent division of a unit fraction by a whole number and division of a whole number by a unit fraction using objects and pictorial models.
View subscription options →Fractions and Rational Numbers
Students divide whole numbers by unit fractions and unit fractions by whole numbers accurately, connecting the operation to the meaning of the quotient.
View subscription options →Fractions and Rational Numbers
Students add and subtract positive rational numbers fluently, including decimals and fractions, and explain the structure of their calculations.
View subscription options →Use expressions, equations, factors, and patterns to represent relationships.
Expressions, Equations, and Patterns
Generate factor pairs and use divisibility reasoning to prepare for identifying prime and composite numbers.
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Students identify whether a whole number is prime or composite by examining its factors.
View subscription options →Expressions, Equations, and Patterns
Translate multi-step whole-number situations into equations with a letter representing the unknown.
View subscription options →Expressions, Equations, and Patterns
Students represent and solve multi-step whole-number problems using equations, estimation, and clear interpretation of the final answer.
View subscription options →Expressions, Equations, and Patterns
Students describe how parentheses and brackets group parts of numerical expressions and show which operations belong together.
View subscription options →Expressions, Equations, and Patterns
Students evaluate numerical expressions that include parentheses, brackets, and multiple operations.
View subscription options →Explain reasonableness, choose representations, and solve mixed applications.
Extend learning through volume, geometry, data, and financial literacy.
Use expressions, equations, factors, and patterns to represent relationships.
Expressions, Equations, and Patterns
Students generate numerical patterns from rules, organize the values in tables, and graph related ordered pairs.
View subscription options →Expressions, Equations, and Patterns
Students distinguish additive patterns from multiplicative patterns by examining how the values change from one term to the next.
View subscription options →Reason about volume, measurement conversions, shape hierarchies, and coordinates.
Measurement, Conversions, and Volume
Students understand volume as the number of unit cubes needed to fill a rectangular prism with no gaps or overlaps.
Start lesson →Measurement, Conversions, and Volume
Students determine the volume of rectangular prisms by counting layers of equal arrays of unit cubes.
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Students develop and explain volume formulas for rectangular prisms by connecting layers of unit cubes to multiplication.
View subscription options →Measurement, Conversions, and Volume
Use volume relationships to find missing dimensions and solve multi-step rectangular-prism problems.
View subscription options →Measurement, Conversions, and Volume
Students solve problems involving perimeter, area, and volume and choose the measurement that matches the situation.
View subscription options →Measurement, Conversions, and Volume
Solve customary-system conversion problems using multiplicative relationships and conversion tables.
View subscription options →Measurement, Conversions, and Volume
Students convert measurement units within the customary and metric systems by using known relationships and multiplication or division.
View subscription options →Geometry and Coordinate Plane
Students classify two-dimensional figures in a hierarchy using side and angle attributes.
Start lesson →Geometry and Coordinate Plane
Construct and justify quadrilateral hierarchies using parallel sides, congruent sides, and angle properties.
View subscription options →Geometry and Coordinate Plane
Students describe the key attributes of the coordinate plane, including the origin, x-axis, y-axis, and perpendicular number lines.
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Students graph ordered pairs from mathematical and real-world problems in the first quadrant.
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Graph ordered pairs generated by rules and input-output tables and interpret the resulting pattern.
View subscription options →Represent, interpret, and solve problems with categorical and numerical data.
Data Analysis and Financial Literacy
Organize and represent categorical data using frequency tables and bar graphs.
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Represent numerical data, including fractional and decimal measurements, with dot plots and stem-and-leaf plots.
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Students distinguish categorical data from numerical data and choose appropriate representations for each type.
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Students represent discrete paired data on scatterplots by graphing related ordered pairs.
View subscription options →Data Analysis and Financial Literacy
Students solve one-step and two-step problems by reading and interpreting data displays accurately.
View subscription options →Interpret taxes, income, payments, records, and balanced budgets.
Data Analysis and Financial Literacy
Students define income tax, payroll tax, sales tax, and property tax and identify when each applies.
View subscription options →Data Analysis and Financial Literacy
Students explain the difference between gross income and net income and compute net income from a simple paycheck situation.
View subscription options →Data Analysis and Financial Literacy
Students compare common methods of payment such as cash, checks, debit cards, and credit cards using everyday situations.
View subscription options →Data Analysis and Financial Literacy
Students describe how receipts, statements, and other financial records can be kept and used to track money.
View subscription options →Data Analysis and Financial Literacy
Students describe actions that can help balance a simple budget when income and expenses do not match.
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Students balance a simple budget by totaling income and expenses and comparing the two amounts.
View subscription options →Explain reasonableness, choose representations, and solve mixed applications.
Integrate Grade 5 ideas in representation and capstone challenges.
Explain reasonableness, choose representations, and solve mixed applications.
Reviews and Assessments
Students explain whether a Grade 5 solution is reasonable and choose the level of precision that fits the context and units.
View subscription options →Reviews and Assessments
Students choose and justify a visual, symbolic, tabular, or verbal representation that matches the structure of a complex Grade 5 problem.
View subscription options →Reviews and Assessments
Students solve mixed Grade 5 application problems by choosing operations, using helpful representations, and checking final answers in context.
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